Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, J

Time bar (total: 8.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample935.0ms (10.8%)

Memory
1.0MiB live, 990.6MiB allocated
Samples
560.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 317.0ms
ival-sub: 184.0ms (58% of total)
ival-mult: 119.0ms (37.5% of total)
ival-true: 6.0ms (1.9% of total)
exact: 5.0ms (1.6% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain83.0ms (1%)

Memory
14.6MiB live, 172.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) y) z)
00-0-y
00-0-#s(literal 1 binary64)
00-0-z
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))n*o50
Confusion
Predicted +Predicted -
+50
-0251
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+500
-00251
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms512×0valid
Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (48.7% of total)
ival-sub: 5.0ms (40.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess337.0ms (3.9%)

Memory
-25.8MiB live, 95.7MiB allocated
Algorithm
egg-herbie
Rules
1 608×unsub-neg
1 232×lower-fma.f64
1 232×lower-fma.f32
788×distribute-lft-in
690×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03290
110582
228581
3117481
4272081
5411181
6451681
7471081
8479681
9482881
10487981
11487981
12487981
13497781
14500581
089
0129
1239
2529
31539
44429
59399
613279
716259
816589
916589
016588
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
Symmetry

(negabs x)

Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify55.0ms (0.6%)

Memory
6.2MiB live, 44.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Rules
1 232×lower-fma.f64
1 232×lower-fma.f32
496×lower-*.f32
492×lower-*.f64
440×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
12328
25228
315328
444228
593928
6132728
7162528
8165828
9165828
0165826
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
x
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
y
z
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
y
z

localize45.0ms (0.5%)

Memory
7.7MiB live, 44.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy1.2218168661626403
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Samples
40.0ms256×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (63.5% of total)
ival-sub: 3.0ms (38.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
-24.5MiB live, 25.2MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())
#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ y (/ 1 z)) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* x (- y 1)) (/ x z))) (taylor inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 y))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 (- 1 y)) (/ 1 z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* z (- 1 y)))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y))))) (taylor -inf z) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* z (- 1 y)) (taylor -inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (- 1 z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* y z)) z) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (* y z)) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt z (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (* y z))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (* y z))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (+ z (* -1 (* y z))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y)))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* x z) (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* x z) (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* x z) (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ z y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ z y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 z) (/ z y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ z (* -1 (/ z y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ z (* -1 (/ z y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ z (* -1 (/ z y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (- 1 y) z) (- 1 y))
1.0ms
z
@inf
((- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (- 1 y) z) (- 1 y))
1.0ms
z
@-inf
((- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (- 1 y) z) (- 1 y))
1.0ms
z
@0
((- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (- 1 y) z) (- 1 y))
1.0ms
x
@0
((- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (- 1 y) z) (- 1 y))

simplify172.0ms (2%)

Memory
19.4MiB live, 128.3MiB allocated
Algorithm
egg-herbie
Rules
7 100×lower-fma.f64
7 100×lower-fma.f32
2 674×lower-*.f64
2 674×lower-*.f32
1 232×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074592
1234592
2627592
31396592
44039592
56285592
67489592
08044544
Stop Event
iter limit
node limit
Counts
96 → 94
Calls
Call 1
Inputs
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
z
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* z (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
x
(+ x (* x (* z (- y 1))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(+ x (* x (* z (- y 1))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(+ x (* x (* z (- y 1))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* z (- (+ y (/ 1 z)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* z (- (+ y (/ 1 z)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* z (- (+ y (/ 1 z)) 1))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* x (* z (- y 1)))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 (* z (- 1 y)))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* -1 (* x (* z (- 1 y))))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* z (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 (* y z)) z)
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(- (+ 1 (* y z)) z)
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(- (+ 1 (* y z)) z)
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
z
(+ z (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ z (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(+ z (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* y z)
(*.f64 y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* x (* y z))
(*.f64 (*.f64 x z) y)
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* y (+ (* -1 z) (/ z y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* y (+ (* -1 z) (/ z y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* y (+ (* -1 z) (/ z y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y z)
(*.f64 y z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))
(* x (* y z))
(*.f64 (*.f64 x z) y)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)

rewrite189.0ms (2.2%)

Memory
-5.7MiB live, 305.7MiB allocated
Rules
4 326×lower-fma.f64
4 326×lower-fma.f32
3 522×lower-/.f64
3 522×lower-/.f32
3 346×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
14624
232824
3353824
0941422
Stop Event
iter limit
node limit
iter limit
Counts
4 → 445
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) z)) (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (-.f64 y #s(literal 1 binary64))) z #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) z)) z) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) z)) z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (-.f64 y #s(literal 1 binary64))) z) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (-.f64 y #s(literal 1 binary64))) z #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) z)) z) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) z)) z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) z)) z #s(literal 1 binary64))))
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(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (-.f64 #s(literal 1 binary64) y)) z #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))))
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(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) z)) z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) z)) z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (-.f64 #s(literal 1 binary64) y)) z #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (-.f64 #s(literal 1 binary64) y)) z #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) z)) z #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) z)) z #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (-.f64 #s(literal 1 binary64) y)) z #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (-.f64 #s(literal 1 binary64) y)) z #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (-.f64 #s(literal 1 binary64) y)) z #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (-.f64 #s(literal 1 binary64) y)) z #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (-.f64 #s(literal 1 binary64) y)) z #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) z)) z #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))))
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(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 y (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)

eval67.0ms (0.8%)

Memory
20.7MiB live, 174.3MiB allocated
Compiler

Compiled 14 810 to 1 724 computations (88.4% saved)

prune311.0ms (3.6%)

Memory
-24.6MiB live, 202.1MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5309539
Fresh000
Picked101
Done000
Total5319540
Accuracy
100.0%
Counts
540 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
98.1%
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
69.2%
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (-.f64 #s(literal 1 binary64) y)) z #s(literal 1 binary64))) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
66.9%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
61.8%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
37.5%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
38.8%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
62.7%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
39.9%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
Compiler

Compiled 206 to 126 computations (38.8% saved)

simplify86.0ms (1%)

Memory
5.7MiB live, 45.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z x)
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 x (-.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 (*.f64 x z) y)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
cost-diff0
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
cost-diff0
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
Rules
1 280×lower-fma.f32
1 276×lower-fma.f64
544×lower-*.f32
530×lower-*.f64
324×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021122
033122
162122
2112120
3229120
4480120
5814120
61232120
71463120
81517120
91549120
101555120
111557120
121560120
131562120
01562118
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
x
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
(*.f64 (*.f64 x z) y)
(*.f64 x z)
x
z
y
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 z x)
z
x
Outputs
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(*.f64 z (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
x
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
(*.f64 (*.f64 x z) y)
(*.f64 (*.f64 x y) z)
(*.f64 x z)
x
z
y
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) x))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
(*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 z x)
(*.f64 x z)
z
x

localize142.0ms (1.6%)

Memory
2.3MiB live, 77.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0
(*.f64 z x)
accuracy1.4065066081431488
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.00390625
(*.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy1.7393456412193227
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
accuracy23.255153884154478
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
accuracy0
(*.f64 x z)
accuracy5.983892240957501
(*.f64 (*.f64 x z) y)
accuracy38.79583185673008
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
accuracy1.2218168661626403
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
accuracy39.414690411905
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.00390625
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
accuracy1.2179106161626403
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
Samples
131.0ms256×0valid
Compiler

Compiled 108 to 21 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sub: 14.0ms (45.9% of total)
ival-mult: 14.0ms (45.9% of total)
ival-add: 2.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series114.0ms (1.3%)

Memory
-15.1MiB live, 31.6MiB allocated
Counts
13 → 384
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())
#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())
#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf z) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* z (- y 1)))) (taylor inf x) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) (patch (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x z) y) (patch (*.f64 (*.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (patch (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y 1)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 y #s(literal 1 binary64))) (patch (*.f64 x (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) (patch (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
86.0ms
y
@inf
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (- y 1) (* z x)) x) (* z x))
5.0ms
x
@-inf
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (- y 1) (* z x)) x) (* z x))
3.0ms
z
@inf
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (- y 1) (* z x)) x) (* z x))
2.0ms
z
@-inf
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (- y 1) (* z x)) x) (* z x))
2.0ms
x
@inf
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (- y 1) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* x (- 1 (* (- 1 y) z))) (* (* x z) y) (* x z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (+ (* (- y 1) (* z x)) x) (* z x))

simplify327.0ms (3.8%)

Memory
-5.8MiB live, 188.3MiB allocated
Algorithm
egg-herbie
Rules
10 046×lower-fma.f64
10 046×lower-fma.f32
2 806×lower-*.f64
2 806×lower-*.f32
2 240×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01082497
13632471
210532471
320672471
452352471
579122471
080952303
Stop Event
iter limit
node limit
Counts
384 → 377
Calls
Call 1
Inputs
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* x z)
(* x z)
(* x z)
(* x z)
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
-1
(- y 1)
(- y 1)
(- y 1)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y z)
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
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(* x (* y z))
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(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
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(* y z)
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y
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(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* y z)
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(* x (* y z))
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(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (- y 1))
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(* x (- y 1))
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(* x z)
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(* x z)
(* x z)
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(* x z)
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Outputs
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x
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
1
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(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)

rewrite241.0ms (2.8%)

Memory
32.9MiB live, 273.5MiB allocated
Rules
8 278×lower-fma.f32
8 274×lower-fma.f64
4 826×lower-*.f32
4 812×lower-*.f64
2 990×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02199
03399
111899
269597
0859995
Stop Event
iter limit
node limit
iter limit
Counts
13 → 590
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(-.f64 y #s(literal 1 binary64))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
(*.f64 (*.f64 x z) y)
(*.f64 x z)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
(*.f64 z x)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 y #s(literal 1 binary64)))) x)) (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 y #s(literal 1 binary64)))) (*.f64 x x)) x (*.f64 (*.f64 (neg.f64 x) x) x))) (fma.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) x) (*.f64 x (*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 x (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)))))) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 x (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 y #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (-.f64 x (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) x) (*.f64 (-.f64 x (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) x)) (*.f64 (-.f64 x (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) x)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) x)) (-.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 x (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) x) (-.f64 (*.f64 (-.f64 x (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) x) (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) x))))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 y #s(literal 1 binary64)))) x)) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 y #s(literal 1 binary64)))) x))) (*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 y #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 y #s(literal 1 binary64)))) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))
(*.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 y #s(literal 1 binary64)))) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) x))
(*.f64 (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 y #s(literal 1 binary64)))) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))) x))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x x)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x x))))
(*.f64 (*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))
(*.f64 (*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))
(*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))) x) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 z (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) x) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 z (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 y #s(literal 1 binary64)))) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))) (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 z (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 y #s(literal 1 binary64)))) (*.f64 x x)) x (*.f64 (*.f64 (neg.f64 x) x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) x)) (-.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 z (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 y #s(literal 1 binary64)))) (*.f64 x x)) x (*.f64 (*.f64 (neg.f64 x) x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 y #s(literal 1 binary64)))) (*.f64 x x)) x (*.f64 (*.f64 (neg.f64 x) x) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z)) (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 y #s(literal 1 binary64)))) (*.f64 x x)) x)) (*.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 y #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))) (fma.f64 z (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
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(fma.f64 (/.f64 (*.f64 x z) (-.f64 y #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) z) x) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) x) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) x)
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) x) (*.f64 z (-.f64 y #s(literal 1 binary64)))) (/.f64 z (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) x) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 x z)) (/.f64 (*.f64 x z) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (neg.f64 z) (*.f64 (-.f64 #s(literal 1 binary64) y) x) x)
(fma.f64 (*.f64 x y) z (fma.f64 (neg.f64 z) x x))
(fma.f64 (*.f64 (neg.f64 x) z) (-.f64 #s(literal 1 binary64) y) x)
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 (*.f64 (*.f64 x z) z) x) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x z) z) x) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) y) z) x)
(fma.f64 (*.f64 z y) x (fma.f64 (neg.f64 z) x x))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (*.f64 x z)) x)
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (*.f64 x z) (-.f64 y #s(literal -1 binary64))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x) x)
(fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) x x)
(fma.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (/.f64 (*.f64 x z) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) x)
(fma.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (*.f64 x z)) x)
(fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 y #s(literal 1 binary64))) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x) (/.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (/.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 x z) (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 x z)) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 x z) (-.f64 y #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x z) y (fma.f64 (neg.f64 z) x x))
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z x)
(fma.f64 (*.f64 (*.f64 x y) z) #s(literal 1 binary64) (fma.f64 (neg.f64 z) x x))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 x) z) x)
(fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 y #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 x (*.f64 z y) (fma.f64 (neg.f64 z) x x))
(fma.f64 x (*.f64 z (-.f64 y #s(literal 1 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(fma.f64 z (/.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) x) (*.f64 z (-.f64 y #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 z (*.f64 x y) (fma.f64 (neg.f64 z) x x))
(fma.f64 z (*.f64 x (-.f64 y #s(literal 1 binary64))) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) z) x) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 x z) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 x z) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) z) (fma.f64 (neg.f64 z) x x))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(fma.f64 y (*.f64 #s(literal 1 binary64) (*.f64 x z)) (fma.f64 (neg.f64 z) x x))
(fma.f64 y (*.f64 x z) (fma.f64 (neg.f64 z) x x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))) (/.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) x)) (-.f64 x (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) x)) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x))))
(+.f64 (+.f64 x (*.f64 (*.f64 x y) z)) (*.f64 (neg.f64 x) z))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) z) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) x)) (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)))))
(+.f64 (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z) x)
(+.f64 (*.f64 (*.f64 x y) z) (fma.f64 (neg.f64 z) x x))
(+.f64 x (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(*.f64 x z)
(*.f64 z x)

eval198.0ms (2.3%)

Memory
4.6MiB live, 351.5MiB allocated
Compiler

Compiled 24 462 to 1 571 computations (93.6% saved)

prune188.0ms (2.2%)

Memory
-16.3MiB live, 339.6MiB allocated
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1 18561 191
Fresh224
Picked235
Done000
Total1 189111 200
Accuracy
100.0%
Counts
1 200 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
73.4%
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
66.9%
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
72.2%
(/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
61.8%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
37.5%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
38.8%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
38.4%
#s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z))
62.0%
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
39.9%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
31.3%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
Compiler

Compiled 215 to 121 computations (43.7% saved)

simplify144.0ms (1.7%)

Memory
10.1MiB live, 243.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (-.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)
cost-diff0
(/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
cost-diff128
(fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
cost-diff0
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
cost-diff0
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) z)
cost-diff0
#s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (* x (- y 1)) (neg.f64 x))
cost-diff0
(*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
cost-diff0
(*.f64 y z)
cost-diff0
#s(approx (* (- y 1) z) (*.f64 y z))
cost-diff0
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
Rules
10 194×lower-fma.f32
10 188×lower-fma.f64
3 724×lower-*.f32
3 706×lower-*.f64
2 562×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035208
054208
199208
2181208
3475208
41847208
53639208
67388208
08239201
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
#s(approx (* (- y 1) z) (*.f64 y z))
(*.f64 y z)
y
z
x
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)
#s(approx (* x (- y 1)) (neg.f64 x))
(neg.f64 x)
x
z
#s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z))
(*.f64 (*.f64 y x) z)
(*.f64 y x)
y
x
z
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
x
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
(/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
(*.f64 z (-.f64 y #s(literal 1 binary64)))
z
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
x
(fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))
Outputs
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
(fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) x)
#s(approx (* (- y 1) z) (*.f64 y z))
#s(approx (* (- y 1) z) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
x
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)
#s(approx (* x (- y 1)) (neg.f64 x))
(neg.f64 x)
x
z
#s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x y) z))
(*.f64 (*.f64 y x) z)
(*.f64 (*.f64 x y) z)
(*.f64 y x)
(*.f64 x y)
y
x
z
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (*.f64 z (-.f64 y #s(literal 1 binary64)))) x)
x
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z (-.f64 y #s(literal 1 binary64))))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(*.f64 z (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
(/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (fma.f64 (*.f64 z z) (fma.f64 (-.f64 #s(literal 2 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (*.f64 x z) z) (fma.f64 (-.f64 #s(literal 2 binary64) y) y #s(literal -1 binary64)) x)
(fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
(fma.f64 (*.f64 z z) (fma.f64 (-.f64 #s(literal 2 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 z (-.f64 y #s(literal 1 binary64)))
z
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
x
(fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))

localize173.0ms (2%)

Memory
0.5MiB live, 122.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 z (-.f64 y #s(literal 1 binary64)))
accuracy0.060878759768442016
(fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
accuracy3.78591802929699
(*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)
accuracy13.360249214599063
(/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.00390625
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
accuracy1.2218168661626403
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
accuracy23.457863597951754
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
accuracy0
(*.f64 y x)
accuracy5.012124739508513
(*.f64 (*.f64 y x) z)
accuracy38.79583185673008
#s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z))
accuracy0
(neg.f64 x)
accuracy1.7393456412193227
(*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)
accuracy23.255153884154478
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
accuracy31.319834538565207
#s(approx (* x (- y 1)) (neg.f64 x))
accuracy0
(*.f64 y z)
accuracy1.2179106161626403
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
accuracy31.340255684366515
#s(approx (* (- y 1) z) (*.f64 y z))
Samples
157.0ms256×0valid
Compiler

Compiled 173 to 29 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-mult: 128.0ms (91.3% of total)
ival-sub: 5.0ms (3.6% of total)
ival-add: 4.0ms (2.9% of total)
ival-div: 2.0ms (1.4% of total)
ival-neg: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series44.0ms (0.5%)

Memory
13.7MiB live, 51.8MiB allocated
Counts
18 → 504
Calls
Call 1
Inputs
#s(alt (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #<representation binary64>) () ())
#s(alt #s(approx (* (- y 1) z) (*.f64 y z)) (patch #s(approx (* (- y 1) z) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) (patch (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* x (- y 1)) (neg.f64 x)) (patch #s(approx (* x (- y 1)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y x) z) (patch (*.f64 (*.f64 y x) z) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 z (-.f64 y #s(literal 1 binary64))) (patch (*.f64 z (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* (- y 1) z) (*.f64 y z)) (patch #s(approx (* (- y 1) z) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* (- y 1) z) (*.f64 y z)) (patch #s(approx (* (- y 1) z) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* (- y 1) z) (*.f64 y z)) (patch #s(approx (* (- y 1) z) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt #s(approx (* (- y 1) z) (*.f64 y z)) (patch #s(approx (* (- y 1) z) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) (patch (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) (patch (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) (patch (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) (patch (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z)) (patch #s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 y x) z) (patch (*.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 y x) z) (patch (*.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 y x) z) (patch (*.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 y x) z) (patch (*.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x (* z (- 1 y))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- (* z (- (* x (* (- 1 y) (- y 1))) (* -1 (* x (pow (- 1 y) 2))))) (* x (- 1 y))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* z (- (* z (- (+ (* -1 (* z (* (- 1 y) (- (* x (* (- 1 y) (- y 1))) (* -1 (* x (pow (- 1 y) 2))))))) (* x (* (- 1 y) (- y 1)))) (* -1 (* x (pow (- 1 y) 2))))) (* x (- 1 y))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* (pow z 2) (* (- 1 y) (- y 1))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* (pow z 2) (* (- 1 y) (- y 1))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* (pow z 2) (* (- 1 y) (- y 1))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 z (-.f64 y #s(literal 1 binary64))) (patch (*.f64 z (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (- y 1)) (taylor 0 z) (#s(alt (*.f64 z (-.f64 y #s(literal 1 binary64))) (patch (*.f64 z (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (* y z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (+ (* (- y 1) (* z x)) x) (* (* y x) z) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) (/ (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (- 1 y) z) 1)) (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (* z (- y 1)))
3.0ms
x
@0
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (* y z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (+ (* (- y 1) (* z x)) x) (* (* y x) z) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) (/ (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (- 1 y) z) 1)) (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (* z (- y 1)))
3.0ms
x
@inf
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (* y z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (+ (* (- y 1) (* z x)) x) (* (* y x) z) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) (/ (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (- 1 y) z) 1)) (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (* z (- y 1)))
3.0ms
y
@-inf
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (* y z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (+ (* (- y 1) (* z x)) x) (* (* y x) z) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) (/ (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (- 1 y) z) 1)) (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (* z (- y 1)))
3.0ms
z
@-inf
((+ (* (* (- y 1) z) x) x) (* (- y 1) z) (* y z) (* x (- 1 (* (- 1 y) z))) (* (* x (- y 1)) z) (* x (- y 1)) (neg x) (+ (* (- y 1) (* z x)) x) (* (* y x) z) (* y x) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* (- y 1) z) (- y 1) (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) (/ (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (- 1 y) z) 1)) (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (* z (- y 1)))

simplify280.0ms (3.2%)

Memory
-2.9MiB live, 247.5MiB allocated
Algorithm
egg-herbie
Rules
16 660×lower-fma.f64
16 660×lower-fma.f32
4 964×lower-*.f64
4 964×lower-*.f32
3 986×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03565123
112344919
243334587
084684365
Stop Event
iter limit
node limit
Counts
504 → 496
Calls
Call 1
Inputs
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
1
(+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))
(+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))
(+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))
x
(+ x (* -1 (* x (* z (- 1 y)))))
(+ x (* z (- (* z (- (* x (* (- 1 y) (- y 1))) (* -1 (* x (pow (- 1 y) 2))))) (* x (- 1 y)))))
(+ x (* z (- (* z (- (+ (* -1 (* z (* (- 1 y) (- (* x (* (- 1 y) (- y 1))) (* -1 (* x (pow (- 1 y) 2))))))) (* x (* (- 1 y) (- y 1)))) (* -1 (* x (pow (- 1 y) 2))))) (* x (- 1 y)))))
x
(+ x (* x (* (pow z 2) (* (- 1 y) (- y 1)))))
(+ x (* x (* (pow z 2) (* (- 1 y) (- y 1)))))
(+ x (* x (* (pow z 2) (* (- 1 y) (- y 1)))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* (pow z 2) (* (- 1 y) (- y 1)))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(* x (* z (- y 1)))
(* z (+ (* -1 (/ (* x (- y 1)) (* z (- 1 y)))) (* x (- y 1))))
(* z (- (+ (* x (- y 1)) (/ x (* (pow z 2) (- 1 y)))) (+ (* -1 (/ (* x (- y 1)) (* (pow z 2) (pow (- 1 y) 2)))) (/ (* x (- y 1)) (* z (- 1 y))))))
(* z (- (+ (* -1 (/ (* x (- y 1)) (* (pow z 3) (pow (- 1 y) 3)))) (+ (* x (- y 1)) (/ x (* (pow z 2) (- 1 y))))) (+ (* -1 (/ (* x (- y 1)) (* (pow z 2) (pow (- 1 y) 2)))) (+ (/ x (* (pow z 3) (pow (- 1 y) 2))) (/ (* x (- y 1)) (* z (- 1 y)))))))
(* x (* (pow z 2) (* (- 1 y) (- y 1))))
(* (pow z 2) (+ (* x (* (- 1 y) (- y 1))) (/ x (pow z 2))))
(* (pow z 2) (+ (* x (* (- 1 y) (- y 1))) (/ x (pow z 2))))
(* (pow z 2) (+ (* x (* (- 1 y) (- y 1))) (/ x (pow z 2))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* (pow z 2) (* (- 1 y) (- y 1)))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (/ (* x (- y 1)) (* z (- 1 y))))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (- 1 y))) (/ (* x (- y 1)) (pow (- 1 y) 2))) z)) (/ (* x (- y 1)) (- 1 y))) z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (- 1 y))) (* -1 (/ (- (* -1 (/ x (- 1 y))) (/ (* x (- y 1)) (pow (- 1 y) 2))) (* z (- 1 y))))) (/ (* x (- y 1)) (pow (- 1 y) 2))) z)) (/ (* x (- y 1)) (- 1 y))) z)))))
(* x (* (pow z 2) (* (- 1 y) (- y 1))))
(* (pow z 2) (+ (* x (* (- 1 y) (- y 1))) (/ x (pow z 2))))
(* (pow z 2) (+ (* x (* (- 1 y) (- y 1))) (/ x (pow z 2))))
(* (pow z 2) (+ (* x (* (- 1 y) (- y 1))) (/ x (pow z 2))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
-1
(- y 1)
(- y 1)
(- y 1)
(+ 1 (* -1 (pow z 2)))
(+ 1 (+ (* -1 (pow z 2)) (* 2 (* y (pow z 2)))))
(+ 1 (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 2))) (* 2 (pow z 2))))))
(+ 1 (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 2))) (* 2 (pow z 2))))))
(/ (* x (+ 1 (* -1 (pow z 2)))) (+ 1 z))
(+ (* y (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (/ (* x (+ 1 (* -1 (pow z 2)))) (+ 1 z)))
(+ (* y (- (+ (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* y (- (* -1 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (/ (* x (+ 1 (* -1 (pow z 2)))) (+ 1 z)))
(+ (* y (- (+ (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* y (- (+ (* -1 (/ (* x (pow z 2)) (+ 1 z))) (/ (* y (* z (- (* -1 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (/ (* x (+ 1 (* -1 (pow z 2)))) (+ 1 z)))
(* x (+ 1 (* -1 (pow z 2))))
(+ (* 2 (* x (* y (pow z 2)))) (* x (+ 1 (* -1 (pow z 2)))))
(+ (* x (+ 1 (* -1 (pow z 2)))) (* y (+ (* -1 (* x (* y (pow z 2)))) (* 2 (* x (pow z 2))))))
(+ (* x (+ 1 (* -1 (pow z 2)))) (* y (+ (* -1 (* x (* y (pow z 2)))) (* 2 (* x (pow z 2))))))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y z)
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y z)
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (pow z 2)) (* 2 (/ (pow z 2) y))))
(* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (pow z 2)) (+ (* 2 (/ (pow z 2) y)) (/ 1 (pow y 2))))))
(* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (pow z 2)) (+ (* 2 (/ (pow z 2) y)) (/ 1 (pow y 2))))))
(* x (* y z))
(* y (- (+ (* -2 (/ (* x z) y)) (* x z)) (* -1 (/ (* x (+ 1 z)) y))))
(* y (- (+ (* -2 (/ (* x z) y)) (+ (* -1 (/ (* x (+ 1 (* -1 (pow z 2)))) (* (pow y 2) z))) (* x z))) (+ (* -1 (/ (* x (+ 1 z)) y)) (* -1 (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) (* (pow y 2) z))))))
(* y (- (+ (* -2 (/ (* x z) y)) (+ (* -1 (/ (* x (+ 1 (* -1 (pow z 2)))) (* (pow y 2) z))) (+ (* x z) (/ (* (+ 1 z) (- (* -1 (/ (* x (+ 1 (* -1 (pow z 2)))) z)) (* -1 (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z)))) (* (pow y 3) z))))) (+ (* -1 (/ (* x (+ 1 z)) y)) (* -1 (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) (* (pow y 2) z))))))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (* 2 (/ (* x (pow z 2)) y))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (+ (* 2 (/ (* x (pow z 2)) y)) (/ (* x (+ 1 (* -1 (pow z 2)))) (pow y 2)))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (+ (* 2 (/ (* x (pow z 2)) y)) (/ (* x (+ 1 (* -1 (pow z 2)))) (pow y 2)))))
(* y z)
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* y z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* y z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* (pow y 2) (pow z 2)))
(* (pow y 2) (+ (* -1 (pow z 2)) (* 2 (/ (pow z 2) y))))
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (pow z 2)) (* -1 (/ (+ 1 (* -1 (pow z 2))) y))) y)) (* -1 (pow z 2))))
(* (pow y 2) (+ (* -1 (/ (+ (* -2 (pow z 2)) (* -1 (/ (+ 1 (* -1 (pow z 2))) y))) y)) (* -1 (pow z 2))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (* -2 (* x z)) (* -1 (* x (+ 1 z)))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (/ (* x (+ 1 (* -1 (pow z 2)))) z) (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z)) y))) (* -1 (* x (+ 1 z)))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (+ (* -2 (* x z)) (* -1 (/ (- (+ (/ (* x (+ 1 (* -1 (pow z 2)))) z) (/ (* (+ 1 z) (- (/ (* x (+ 1 (* -1 (pow z 2)))) z) (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z))) (* y z))) (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) z)) y))) (* -1 (* x (+ 1 z)))) y)))))
(* -1 (* x (* (pow y 2) (pow z 2))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (* 2 (/ (* x (pow z 2)) y))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (* -1 (/ (+ (* -2 (* x (pow z 2))) (* -1 (/ (* x (+ 1 (* -1 (pow z 2)))) y))) y))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (* -1 (/ (+ (* -2 (* x (pow z 2))) (* -1 (/ (* x (+ 1 (* -1 (pow z 2)))) y))) y))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
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(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) z) (*.f64 (-.f64 y #s(literal 1 binary64)) x) x)
(* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) z) (*.f64 (-.f64 y #s(literal 1 binary64)) x) x)
(* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) z) (*.f64 (-.f64 y #s(literal 1 binary64)) x) x)
(* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) z) (*.f64 (-.f64 y #s(literal 1 binary64)) x) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* x (* z (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (* y z))
(*.f64 (*.f64 y z) x)
(* x (* y z))
(*.f64 (*.f64 y z) x)
(* x (* y z))
(*.f64 (*.f64 y z) x)
(* x (* y z))
(*.f64 (*.f64 y z) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* x (- 1 (* z (- 1 y))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) z) (*.f64 (-.f64 y #s(literal 1 binary64)) x) x)
(* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) z) (*.f64 (-.f64 y #s(literal 1 binary64)) x) x)
(* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) z) (*.f64 (-.f64 y #s(literal 1 binary64)) x) x)
(* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) z) (*.f64 (-.f64 y #s(literal 1 binary64)) x) x)

rewrite248.0ms (2.9%)

Memory
7.5MiB live, 235.7MiB allocated
Rules
13 504×lower-fma.f32
13 498×lower-fma.f64
4 966×lower-*.f32
4 948×lower-*.f64
3 354×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035175
054175
1177175
21172157
09280152
Stop Event
iter limit
node limit
iter limit
Counts
18 → 652
Calls
Call 1
Inputs
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
#s(approx (* (- y 1) z) (*.f64 y z))
(*.f64 y z)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)
#s(approx (* x (- y 1)) (neg.f64 x))
(neg.f64 x)
#s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z))
(*.f64 (*.f64 y x) z)
(*.f64 y x)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
#s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
(*.f64 (-.f64 y #s(literal 1 binary64)) z)
(-.f64 y #s(literal 1 binary64))
(fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)
(*.f64 z (-.f64 y #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))))))
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) x (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))))))))
(*.f64 (+.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 x (fma.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) x (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))))))))
(*.f64 x (+.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y))) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y))) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y))) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y))) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y))) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y))) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y))) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)))))) (neg.f64 (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) x (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y))) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (*.f64 (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))))
(/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y))))) (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))) (neg.f64 (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) x (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))))))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x))) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) x))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 x x (*.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) x (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y)))) (*.f64 x (-.f64 x (*.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x #s(approx (* (- y 1) z) (*.f64 z y))) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) (neg.f64 x)))) (*.f64 (fma.f64 (*.f64 #s(approx (* (- y 1) z) (*.f64 z y)) #s(approx (* (- y 1) z) (*.f64 z y))) #s(approx (* (- y 1) z) (*.f64 z y)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (* (- y 1) z) (*.f64 z y)) x)) #s(literal 1 binary64)))
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(fma.f64 z y (*.f64 z #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 (neg.f64 y) (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1 binary64))))
(fma.f64 y z (*.f64 (*.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 y z (neg.f64 z))
(fma.f64 y z (*.f64 z #s(literal -1 binary64)))
(-.f64 (neg.f64 z) (*.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(+.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(+.f64 (*.f64 (neg.f64 z) (neg.f64 y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (neg.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (neg.f64 y) (neg.f64 z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1 binary64))))
(+.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) z)))
(+.f64 (neg.f64 z) (neg.f64 (*.f64 (neg.f64 y) z)))
(+.f64 (neg.f64 z) (*.f64 z y))
(+.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1 binary64)))
(+.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z y))
(+.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y #s(literal 1 binary64))))
(+.f64 (*.f64 z y) (*.f64 (*.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 z y) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 z y) (neg.f64 z))
(+.f64 (*.f64 z y) (*.f64 z #s(literal -1 binary64)))

eval258.0ms (3%)

Memory
-12.5MiB live, 348.7MiB allocated
Compiler

Compiled 27 818 to 2 334 computations (91.6% saved)

prune252.0ms (2.9%)

Memory
16.8MiB live, 372.3MiB allocated
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New1 23111 232
Fresh033
Picked145
Done033
Total1 232111 243
Accuracy
100.0%
Counts
1 243 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
73.4%
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
66.9%
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
58.6%
(/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
61.8%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
37.5%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
38.8%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
38.4%
#s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z))
62.0%
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
39.9%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
31.3%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
Compiler

Compiled 120 to 68 computations (43.3% saved)

simplify212.0ms (2.4%)

Memory
3.6MiB live, 131.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (* (- y 1) z) (neg.f64 z))
cost-diff0
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
cost-diff0
#s(approx (* z (- y 1)) (*.f64 y z))
cost-diff0
(fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)
cost-diff0
(/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
cost-diff0
(*.f64 y z)
cost-diff0
#s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))
cost-diff0
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 x z)
cost-diff0
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
cost-diff1088
(/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
Rules
8 700×lower-fma.f32
8 694×lower-fma.f64
3 294×lower-*.f32
3 284×lower-*.f64
2 302×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029185
045185
181181
2154181
3351181
41037181
52114181
64503181
77207181
08066178
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 x z)
x
z
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 y #s(literal 1 binary64))
y
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
x
#s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))
(*.f64 y z)
y
z
(/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
#s(approx (* z (- y 1)) (*.f64 y z))
(*.f64 y z)
y
z
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
x
(fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* (- y 1) z) (neg.f64 z))
(neg.f64 z)
z
x
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x))
(/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(*.f64 x z)
(*.f64 z x)
x
z
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
#s(literal 1 binary64)
(-.f64 y #s(literal 1 binary64))
y
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (*.f64 z y)) x)
x
#s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))
#s(approx (- 1 (* (- 1 y) z)) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
(/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(approx (* z (- y 1)) (*.f64 z y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(approx (* z (- y 1)) (*.f64 z y)) x)
(fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(approx (* z (- y 1)) (*.f64 z y)) #s(literal 1 binary64))
#s(approx (* z (- y 1)) (*.f64 y z))
#s(approx (* z (- y 1)) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
x
(fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
(fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x x)
#s(approx (* (- y 1) z) (neg.f64 z))
#s(approx (* z (- y 1)) (neg.f64 z))
(neg.f64 z)
z
x

localize148.0ms (1.7%)

Memory
-9.6MiB live, 102.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 z)
accuracy1.2179106161626403
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
accuracy31.289365536188203
#s(approx (* (- y 1) z) (neg.f64 z))
accuracy0.060878759768442016
(fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
accuracy3.78591802929699
(*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)
accuracy13.360249214599063
(/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
accuracy31.340255684366515
#s(approx (* z (- y 1)) (*.f64 y z))
accuracy0
(*.f64 y z)
accuracy1.2218168661626403
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
accuracy39.532873027573224
#s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))
accuracy0
(*.f64 x z)
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
accuracy3.780668137517765
(/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
accuracy23.255153884154478
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
Samples
106.0ms256×0valid
Compiler

Compiled 153 to 25 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 13.0ms (50.1% of total)
ival-div: 5.0ms (19.3% of total)
ival-sub: 4.0ms (15.4% of total)
ival-add: 3.0ms (11.6% of total)
ival-neg: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series70.0ms (0.8%)

Memory
3.3MiB live, 56.3MiB allocated
Counts
14 → 384
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* z (- y 1)) (*.f64 y z)) (patch #s(approx (* z (- y 1)) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #<representation binary64>) () ())
#s(alt #s(approx (* (- y 1) z) (neg.f64 z)) (patch #s(approx (* (- y 1) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
Outputs
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (* z (- y 1))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x (* z (- y 1)))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* z (- y 1))) (taylor 0 z) (#s(alt #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) (patch #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) (patch #s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) (patch (*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (* z (- y 1))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) (patch (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
45.0ms
x
@0
((/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* y z) (/ (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (- 1 y) z) 1)) (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) (* z (- y 1)) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z))
3.0ms
x
@-inf
((/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* y z) (/ (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (- 1 y) z) 1)) (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) (* z (- y 1)) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z))
2.0ms
z
@-inf
((/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* y z) (/ (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (- 1 y) z) 1)) (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) (* z (- y 1)) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z))
2.0ms
x
@inf
((/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* y z) (/ (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (- 1 y) z) 1)) (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) (* z (- y 1)) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z))
2.0ms
z
@inf
((/ (* x z) (/ 1 (- y 1))) (* x (- 1 (* (- 1 y) z))) (* x z) (/ 1 (- y 1)) (* x (- 1 (* (- 1 y) z))) (- 1 (* (- 1 y) z)) (* y z) (/ (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (- 1 y) z) 1)) (* (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) x) (+ (* (* z (- y 1)) (* (- 1 y) z)) 1) (* z (- y 1)) (+ (* (* (- y 1) z) x) x) (* (- y 1) z) (neg z))

simplify376.0ms (4.3%)

Memory
-3.5MiB live, 261.9MiB allocated
Algorithm
egg-herbie
Rules
16 104×lower-fma.f64
16 104×lower-fma.f32
4 956×lower-*.f64
4 956×lower-*.f32
4 158×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03664333
112514148
243733907
085563706
Stop Event
iter limit
node limit
Counts
384 → 379
Calls
Call 1
Inputs
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x z)
(* x z)
(* x z)
(* x z)
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* -1 (* x (* z (- 1 y)))))
(+ x (* z (- (* z (- (* x (* (- 1 y) (- y 1))) (* -1 (* x (pow (- 1 y) 2))))) (* x (- 1 y)))))
(+ x (* z (- (* z (- (+ (* -1 (* z (* (- 1 y) (- (* x (* (- 1 y) (- y 1))) (* -1 (* x (pow (- 1 y) 2))))))) (* x (* (- 1 y) (- y 1)))) (* -1 (* x (pow (- 1 y) 2))))) (* x (- 1 y)))))
x
(+ x (* x (* (pow z 2) (* (- 1 y) (- y 1)))))
(+ x (* x (* (pow z 2) (* (- 1 y) (- y 1)))))
(+ x (* x (* (pow z 2) (* (- 1 y) (- y 1)))))
1
(+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))
(+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))
(+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (* z (- y 1)))
(* z (+ (* -1 (/ (* x (- y 1)) (* z (- 1 y)))) (* x (- y 1))))
(* z (- (+ (* x (- y 1)) (/ x (* (pow z 2) (- 1 y)))) (+ (* -1 (/ (* x (- y 1)) (* (pow z 2) (pow (- 1 y) 2)))) (/ (* x (- y 1)) (* z (- 1 y))))))
(* z (- (+ (* -1 (/ (* x (- y 1)) (* (pow z 3) (pow (- 1 y) 3)))) (+ (* x (- y 1)) (/ x (* (pow z 2) (- 1 y))))) (+ (* -1 (/ (* x (- y 1)) (* (pow z 2) (pow (- 1 y) 2)))) (+ (/ x (* (pow z 3) (pow (- 1 y) 2))) (/ (* x (- y 1)) (* z (- 1 y)))))))
(* x (* (pow z 2) (* (- 1 y) (- y 1))))
(* (pow z 2) (+ (* x (* (- 1 y) (- y 1))) (/ x (pow z 2))))
(* (pow z 2) (+ (* x (* (- 1 y) (- y 1))) (/ x (pow z 2))))
(* (pow z 2) (+ (* x (* (- 1 y) (- y 1))) (/ x (pow z 2))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (/ (* x (- y 1)) (* z (- 1 y))))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (- 1 y))) (/ (* x (- y 1)) (pow (- 1 y) 2))) z)) (/ (* x (- y 1)) (- 1 y))) z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (- 1 y))) (* -1 (/ (- (* -1 (/ x (- 1 y))) (/ (* x (- y 1)) (pow (- 1 y) 2))) (* z (- 1 y))))) (/ (* x (- y 1)) (pow (- 1 y) 2))) z)) (/ (* x (- y 1)) (- 1 y))) z)))))
(* x (* (pow z 2) (* (- 1 y) (- y 1))))
(* (pow z 2) (+ (* x (* (- 1 y) (- y 1))) (/ x (pow z 2))))
(* (pow z 2) (+ (* x (* (- 1 y) (- y 1))) (/ x (pow z 2))))
(* (pow z 2) (+ (* x (* (- 1 y) (- y 1))) (/ x (pow z 2))))
(* (pow z 2) (* (- 1 y) (- y 1)))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(* (pow z 2) (+ (* (- 1 y) (- y 1)) (/ 1 (pow z 2))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
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(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
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(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
-1
(- (* -1 y) 1)
(- (* y (- (* -1 y) 1)) 1)
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* y z)
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(* y z)
(* y z)
(/ (* x (+ 1 (* -1 (pow z 2)))) (+ 1 z))
(+ (* y (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (/ (* x (+ 1 (* -1 (pow z 2)))) (+ 1 z)))
(+ (* y (- (+ (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* y (- (* -1 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (/ (* x (+ 1 (* -1 (pow z 2)))) (+ 1 z)))
(+ (* y (- (+ (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* y (- (+ (* -1 (/ (* x (pow z 2)) (+ 1 z))) (/ (* y (* z (- (* -1 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (+ 1 z))) (* -1 (/ (* z (- (* 2 (/ (* x (pow z 2)) (+ 1 z))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (+ 1 z)))))) (* -1 (/ (* x (* z (+ 1 (* -1 (pow z 2))))) (pow (+ 1 z) 2))))) (/ (* x (+ 1 (* -1 (pow z 2)))) (+ 1 z)))
(* x (+ 1 (* -1 (pow z 2))))
(+ (* 2 (* x (* y (pow z 2)))) (* x (+ 1 (* -1 (pow z 2)))))
(+ (* x (+ 1 (* -1 (pow z 2)))) (* y (+ (* -1 (* x (* y (pow z 2)))) (* 2 (* x (pow z 2))))))
(+ (* x (+ 1 (* -1 (pow z 2)))) (* y (+ (* -1 (* x (* y (pow z 2)))) (* 2 (* x (pow z 2))))))
(+ 1 (* -1 (pow z 2)))
(+ 1 (+ (* -1 (pow z 2)) (* 2 (* y (pow z 2)))))
(+ 1 (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 2))) (* 2 (pow z 2))))))
(+ 1 (+ (* -1 (pow z 2)) (* y (+ (* -1 (* y (pow z 2))) (* 2 (pow z 2))))))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(/ 1 y)
(/ (+ 1 (/ 1 y)) y)
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y z)
(* y z)
(* y z)
(* y z)
(* x (* y z))
(* y (- (+ (* -2 (/ (* x z) y)) (* x z)) (* -1 (/ (* x (+ 1 z)) y))))
(* y (- (+ (* -2 (/ (* x z) y)) (+ (* -1 (/ (* x (+ 1 (* -1 (pow z 2)))) (* (pow y 2) z))) (* x z))) (+ (* -1 (/ (* x (+ 1 z)) y)) (* -1 (/ (* (+ 1 z) (- (* -2 (* x z)) (* -1 (* x (+ 1 z))))) (* (pow y 2) z))))))
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(* -1 (* x (* (pow y 2) (pow z 2))))
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(* (pow y 2) (+ (* -1 (* x (pow z 2))) (+ (* 2 (/ (* x (pow z 2)) y)) (/ (* x (+ 1 (* -1 (pow z 2)))) (pow y 2)))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (+ (* 2 (/ (* x (pow z 2)) y)) (/ (* x (+ 1 (* -1 (pow z 2)))) (pow y 2)))))
(* -1 (* (pow y 2) (pow z 2)))
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(* (pow y 2) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (* -1 (pow z 2)) (+ (* 2 (/ (pow z 2) y)) (/ 1 (pow y 2))))))
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(/ 1 y)
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(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(/ (* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1))))) (+ 1 (* z (- 1 y))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))))
(* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) z) (*.f64 (-.f64 y #s(literal 1 binary64)) x) x)
(* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) z) (*.f64 (-.f64 y #s(literal 1 binary64)) x) x)
(* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) z) (*.f64 (-.f64 y #s(literal 1 binary64)) x) x)
(* x (+ 1 (* (pow z 2) (* (- 1 y) (- y 1)))))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) z) (*.f64 (-.f64 y #s(literal 1 binary64)) x) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal 1 binary64)) x)

rewrite321.0ms (3.7%)

Memory
-1.0MiB live, 329.5MiB allocated
Rules
10 362×lower-fma.f32
10 356×lower-fma.f64
5 636×lower-*.f32
5 626×lower-*.f64
4 102×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029152
045152
1162148
21125148
09230145
Stop Event
iter limit
node limit
iter limit
Counts
14 → 568
Calls
Call 1
Inputs
(/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(*.f64 x z)
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
#s(approx (- 1 (* (- 1 y) z)) (*.f64 y z))
(*.f64 y z)
(/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)
(fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
#s(approx (* z (- y 1)) (*.f64 y z))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* (- y 1) z) (neg.f64 z))
(neg.f64 z)
Outputs
(*.f64 (*.f64 (*.f64 (neg.f64 z) x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 (neg.f64 z) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z)
(*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x)) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 z x) (-.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 z x) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 z (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 z (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 z (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(*.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 z (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) z))
(*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
(*.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 z x) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (*.f64 z x)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x)
(*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (*.f64 z x)))
(*.f64 (*.f64 (neg.f64 z) x) (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 (neg.f64 z) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (neg.f64 z) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 z) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 z) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x))
(*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z))
(*.f64 (*.f64 z x) (-.f64 y #s(literal 1 binary64)))
(*.f64 z (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 z (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 z (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 x (*.f64 (-.f64 y #s(literal 1 binary64)) z))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 z) x) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 z) x) (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 z) x) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 z) x) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 z) x) (fma.f64 y y #s(literal -1 binary64))) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 z) x) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 z) x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 z x) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 z x) (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 z x) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 z x) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal -1 binary64)) z)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) z)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 z x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 z x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 z) x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 z) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x)) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) x) (*.f64 (*.f64 y z) x)) (*.f64 (*.f64 (neg.f64 z) x) (*.f64 (neg.f64 z) x))) (-.f64 (*.f64 (*.f64 y z) x) (*.f64 (neg.f64 z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y)) (*.f64 (*.f64 (neg.f64 z) x) (*.f64 (neg.f64 z) x))) (-.f64 (*.f64 (*.f64 z x) y) (*.f64 (neg.f64 z) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y z) x) (*.f64 (*.f64 y z) x) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) (*.f64 (neg.f64 z) x)) (*.f64 (*.f64 (*.f64 y z) x) (*.f64 (neg.f64 z) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) x) (*.f64 (neg.f64 z) x)) (*.f64 (*.f64 (*.f64 z x) y) (*.f64 (neg.f64 z) x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 z x) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (neg.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 z x) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 z) x) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z x)))
(/.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) (*.f64 (*.f64 z x) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z))))
(/.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)))))
(neg.f64 (/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) x))
(neg.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(fma.f64 (*.f64 y x) z (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x)))
(fma.f64 (*.f64 y x) z (*.f64 (neg.f64 z) x))
(fma.f64 (*.f64 x #s(literal -1 binary64)) z (*.f64 (*.f64 (neg.f64 z) x) (neg.f64 y)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) z (*.f64 (*.f64 y z) x))
(fma.f64 (*.f64 x #s(literal -1 binary64)) z (*.f64 (*.f64 z x) y))
(fma.f64 (*.f64 (*.f64 y z) x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x)))
(fma.f64 (*.f64 (*.f64 y z) x) #s(literal 1 binary64) (*.f64 (neg.f64 z) x))
(fma.f64 (*.f64 (*.f64 z x) y) #s(literal 1 binary64) (*.f64 (neg.f64 z) x))
(fma.f64 (neg.f64 x) z (*.f64 (*.f64 (neg.f64 z) x) (neg.f64 y)))
(fma.f64 (neg.f64 x) z (*.f64 (*.f64 y z) x))
(fma.f64 (neg.f64 x) z (*.f64 (*.f64 z x) y))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 z) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x)))
(fma.f64 (*.f64 (neg.f64 z) x) (neg.f64 y) (*.f64 (neg.f64 z) x))
(fma.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 z) x) (neg.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64) (*.f64 (*.f64 y z) x))
(fma.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64) (*.f64 (*.f64 z x) y))
(fma.f64 #s(literal -1 binary64) (*.f64 z x) (*.f64 (*.f64 (neg.f64 z) x) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (*.f64 z x) (*.f64 (*.f64 y z) x))
(fma.f64 #s(literal -1 binary64) (*.f64 z x) (*.f64 (*.f64 z x) y))
(fma.f64 (neg.f64 z) x (*.f64 (*.f64 (neg.f64 z) x) (neg.f64 y)))
(fma.f64 (neg.f64 z) x (*.f64 (*.f64 y z) x))
(fma.f64 (neg.f64 z) x (*.f64 (*.f64 z x) y))
(fma.f64 (*.f64 y z) x (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x)))
(fma.f64 (*.f64 y z) x (*.f64 (neg.f64 z) x))
(fma.f64 y (*.f64 z x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x)))
(fma.f64 y (*.f64 z x) (*.f64 (neg.f64 z) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) x) (*.f64 (neg.f64 z) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 z x) y) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x) (*.f64 (neg.f64 y) (*.f64 (neg.f64 z) x)))
(fma.f64 (*.f64 z x) #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 z) x) (neg.f64 y)))
(fma.f64 (*.f64 z x) #s(literal -1 binary64) (*.f64 (*.f64 y z) x))
(fma.f64 (*.f64 z x) #s(literal -1 binary64) (*.f64 (*.f64 z x) y))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z))) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z))) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z))) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z))) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x)))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x) #s(approx (* z (- y 1)) (neg.f64 z)))))) (neg.f64 (-.f64 x (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x) #s(approx (* z (- y 1)) (neg.f64 z)) (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(approx (* z (- y 1)) (neg.f64 z))) x (-.f64 x (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z))) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))) (*.f64 (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x)) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))))
(/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x) #s(approx (* z (- y 1)) (neg.f64 z))))) (-.f64 x (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x) #s(approx (* z (- y 1)) (neg.f64 z)) (neg.f64 x)))) (neg.f64 (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(approx (* z (- y 1)) (neg.f64 z))) x (-.f64 x (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x))))))
(/.f64 (*.f64 x (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x) #s(approx (* z (- y 1)) (neg.f64 z)) (neg.f64 x))) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 x x (*.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(approx (* z (- y 1)) (neg.f64 z))) x (-.f64 x (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x) #s(approx (* z (- y 1)) (neg.f64 z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x)))) (*.f64 (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x) #s(approx (* z (- y 1)) (neg.f64 z)) (neg.f64 x)))) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (*.f64 x (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(approx (* z (- y 1)) (neg.f64 z))) x (-.f64 x (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x))))))
(neg.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x) #s(approx (* z (- y 1)) (neg.f64 z)) (neg.f64 x))) (neg.f64 (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x)))))
(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(approx (* z (- y 1)) (neg.f64 z))) x (-.f64 x (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x)))))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x)))))
(fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x))
(fma.f64 x #s(approx (* z (- y 1)) (neg.f64 z)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z))) (-.f64 x (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z))) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(approx (* z (- y 1)) (neg.f64 z))) #s(approx (* z (- y 1)) (neg.f64 z))) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x (neg.f64 x)))))
(+.f64 (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x) x)
(+.f64 x (*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) x))
(*.f64 #s(approx (* z (- y 1)) (neg.f64 z)) #s(literal 1 binary64))
#s(approx (* z (- y 1)) (neg.f64 z))
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (neg.f64 z))) (-.f64 #s(literal 0 binary64) (neg.f64 z)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 z z) z))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 z z)) z)
(/.f64 (neg.f64 (*.f64 (*.f64 z z) z)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (neg.f64 z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (neg.f64 (*.f64 (*.f64 z z) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 z #s(literal -1 binary64))
(neg.f64 z)
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z z #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))

eval144.0ms (1.7%)

Memory
11.0MiB live, 242.9MiB allocated
Compiler

Compiled 22 401 to 1 621 computations (92.8% saved)

prune318.0ms (3.7%)

Memory
-2.4MiB live, 287.5MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New9741975
Fresh000
Picked134
Done077
Total97511986
Accuracy
100.0%
Counts
986 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
73.4%
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
66.9%
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
58.6%
(/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
61.8%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
37.5%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
38.8%
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
38.4%
#s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z))
39.9%
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y))))
39.9%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
31.3%
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
Compiler

Compiled 292 to 116 computations (60.3% saved)

regimes56.0ms (0.6%)

Memory
7.0MiB live, 82.9MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
#s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 z x) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* x (- 1 (* (- 1 y) z))) (/.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(approx (* z (- y 1)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) (-.f64 #s(literal 1 binary64) y)) z #s(literal 1 binary64))) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) z #s(literal -1 binary64)))
Outputs
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
Calls

7 calls:

12.0ms
(-.f64 #s(literal 1 binary64) y)
6.0ms
x
6.0ms
y
6.0ms
z
6.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
Results
AccuracySegmentsBranch
98.1%1x
98.1%1y
98.1%1z
98.1%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
98.1%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
98.1%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
98.1%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes46.0ms (0.5%)

Memory
-24.3MiB live, 57.1MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
#s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 (-.f64 y #s(literal 1 binary64)) z)))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))
Calls

7 calls:

22.0ms
z
4.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
4.0ms
x
4.0ms
y
4.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Results
AccuracySegmentsBranch
97.7%3y
77.7%3x
99.3%3z
91.0%4(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
98.8%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
98.8%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
97.7%3(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes50.0ms (0.6%)

Memory
-7.1MiB live, 32.4MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
#s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
Outputs
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
(fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)
Calls

5 calls:

37.0ms
y
3.0ms
z
3.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
3.0ms
(-.f64 #s(literal 1 binary64) y)
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Results
AccuracySegmentsBranch
97.7%3y
97.7%3(-.f64 #s(literal 1 binary64) y)
81.9%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
81.9%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
83.2%3z
Compiler

Compiled 32 to 24 computations (25% saved)

regimes9.0ms (0.1%)

Memory
26.0MiB live, 26.0MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
#s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (*.f64 y z)))
Outputs
#s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
Calls

3 calls:

3.0ms
y
3.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
3.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
80.8%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
88.2%3y
88.2%3(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes61.0ms (0.7%)

Memory
-25.7MiB live, 12.8MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))
Calls

2 calls:

58.0ms
(-.f64 #s(literal 1 binary64) y)
2.0ms
y
Results
AccuracySegmentsBranch
87.1%3y
87.1%3(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes91.0ms (1%)

Memory
3.0MiB live, 41.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
Outputs
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
Calls

7 calls:

77.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
2.0ms
y
2.0ms
x
2.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms
z
Results
AccuracySegmentsBranch
66.9%1x
66.9%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
66.9%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
66.9%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
66.9%1z
66.9%1y
66.9%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes71.0ms (0.8%)

Memory
5.9MiB live, 48.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
Outputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
Calls

7 calls:

59.0ms
z
2.0ms
y
2.0ms
(-.f64 #s(literal 1 binary64) y)
2.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms
x
Results
AccuracySegmentsBranch
66.9%1(-.f64 #s(literal 1 binary64) y)
66.9%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
66.9%1z
66.9%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
66.9%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
66.9%1x
66.9%1y
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes69.0ms (0.8%)

Memory
-12.7MiB live, 26.5MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
Outputs
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))
Calls

7 calls:

59.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
2.0ms
(-.f64 #s(literal 1 binary64) y)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
38.8%1(-.f64 #s(literal 1 binary64) y)
66.1%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
66.3%3z
56.0%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
66.1%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
38.8%1x
44.1%3y
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes7.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
Outputs
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
Calls

5 calls:

1.0ms
z
1.0ms
y
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
1.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Results
AccuracySegmentsBranch
38.8%1y
38.8%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
38.8%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
38.8%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
38.8%1z
Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch109.0ms (1.3%)

Memory
5.5MiB live, 43.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
98.0ms
2.9440622784656293e-28
8.552047600469627e-14
9.0ms
-66364500425206350.0
-2176937532344820.0
Samples
97.0ms272×0valid
Compiler

Compiled 406 to 252 computations (37.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (48.3% of total)
ival-mult: 3.0ms (48.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000135114625883
0.0ms
-54347131.51213531
-823.1821498007384
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.540881129034661e+68
8.781593995560173e+69
0.0ms
-2.4439283154292294e+51
-1.3194501738273183e+41
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.540881129034661e+68
8.781593995560173e+69
0.0ms
-2.4439283154292294e+51
-1.3194501738273183e+41
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch76.0ms (0.9%)

Memory
5.2MiB live, 42.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
1492.7940615382786
14912.050923497223
66.0ms
-2176937532344820.0
-1.399290459875581e-8
Samples
64.0ms272×0valid
Compiler

Compiled 321 to 218 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 3.0ms (46.1% of total)
ival-mult: 3.0ms (46.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify68.0ms (0.8%)

Memory
-20.7MiB live, 17.9MiB allocated
Algorithm
egg-herbie
Rules
30×*-commutative_binary64
14×+-commutative_binary64
14×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066309
189309
2100309
3109309
4110309
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(if (<=.f64 z #s(literal -2200000000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (if (<=.f64 z #s(literal 6734393813712469/79228162514264337593543950336 binary64)) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000000 binary64)) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (if (<=.f64 z #s(literal 1500 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
Outputs
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) z) x x)
(fma.f64 (*.f64 z (-.f64 y #s(literal 1 binary64))) x x)
(if (<=.f64 z #s(literal -2200000000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (if (<=.f64 z #s(literal 6734393813712469/79228162514264337593543950336 binary64)) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))))
(if (<=.f64 z #s(literal -2200000000000000 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z)) (if (<=.f64 z #s(literal 6734393813712469/79228162514264337593543950336 binary64)) (fma.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) z))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000000 binary64)) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) (fma.f64 #s(approx (* (- y 1) z) (*.f64 y z)) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -50000000 binary64)) (fma.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x x) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) (fma.f64 #s(approx (* (- y 1) z) (*.f64 z y)) x x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 y x) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (+ (* (- y 1) (* z x)) x) (*.f64 (*.f64 x y) z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1999999999999999986441897348723255952923416883888128 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 (*.f64 x z) y))))
(fma.f64 #s(approx (* (- y 1) z) (neg.f64 z)) x x)
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) (-.f64 #s(literal 1 binary64) z)) x)
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (if (<=.f64 z #s(literal 1500 binary64)) (*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z)) (if (<=.f64 z #s(literal 1500 binary64)) (*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) x) #s(approx (* x (- 1 (* (- 1 y) z))) (*.f64 #s(approx (* x (- y 1)) (neg.f64 x)) z))))
(*.f64 x #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* (- 1 y) z)) #s(literal 1 binary64)) x)

soundness1.3s (15.1%)

Memory
10.0MiB live, 649.4MiB allocated
Rules
10 046×lower-fma.f64
10 046×lower-fma.f32
7 100×lower-fma.f64
7 100×lower-fma.f32
4 326×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01082497
13632471
210532471
320672471
452352471
579122471
080952303
074592
1234592
2627592
31396592
44039592
56285592
67489592
08044544
0824
01224
14624
232824
3353824
0941422
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 277 to 117 computations (57.8% saved)

preprocess135.0ms (1.6%)

Memory
13.0MiB live, 218.2MiB allocated
Remove

(negabs x)

Compiler

Compiled 760 to 276 computations (63.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...